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Finding the Third Proportional to 49,488 and 116,704

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Solution

The third proportional to 49,488 and 116,704 is: 275,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488 : 116,704 = 116,704 : x
  2. Step 2: Convert to fraction form
    49,488/116,704 = 116,704/x
  3. Step 3: Cross multiply
    49,488x = 116,704 × 116,704
  4. Step 4: Simplify right side
    49,488x = 13,619,823,616
  5. Step 5: Solve for x
    x = 13,619,823,616/49,488
  6. Step 6: Final answer
    x = 275,214.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.